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Finding the Third Proportional to 29,557.13 and 64,857.75

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Solution

The third proportional to 29,557.13 and 64,857.75 is: 142,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557.13 : 64,857.75 = 64,857.75 : x
  2. Step 2: Convert to fraction form
    29,557.13/64,857.75 = 64,857.75/x
  3. Step 3: Cross multiply
    29,557.13x = 64,857.75 × 64,857.75
  4. Step 4: Simplify right side
    29,557.13x = 4,206,527,735.06
  5. Step 5: Solve for x
    x = 4,206,527,735.06/29,557.13
  6. Step 6: Final answer
    x = 142,318.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.